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Probability
The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.
14,643 Questions
What does it mean for a sample to have a standard deviation of zero?
It means that there are is no variation from the mean. In other words, all values in your sample are identical.
What is the probability of getting 2 girls and 2 boys of 4 children?
It depends. If the order is important, (2 girls then 2 boys): There's a 1/2 chance of any sex, so the probability is 1/16(or 6.25%). But if it's just any order of 2 girls and 2 boys, then it's a different outcome. Consider the following table. The desired outcome is 2 girls, 2 boys in any order. We can just look for 2 girls, and convert to Boolean values of 1 for girl and 0 for boy. Here is the table:
0 0 0 0: 0
0 0 0 1: 1
0 0 1 0: 1
0 0 1 1: 2*
0 1 0 0: 1
0 1 0 1: 2*
0 1 1 0: 2*
0 1 1 1: 3
1 0 0 0: 1
1 0 0 1: 2*
1 0 1 0: 2*
1 0 1 1: 3
1 1 0 0: 2*
1 1 0 1: 3
1 1 1 0: 3
1 1 1 1: 4
Note each row has five numbers. The first four numbers represent the four children, and the fifth number is a sum of these four numbers. Any time the sum equals exactly 2, then the desired outcome (2 out of the four children are girls).
This happens 6 times out of the 16 total possible outcomes, so the probability is 6/16, or 3/8 = 37.5%
Each parent contributes 50% of the genetic make-up of the offspring.
Combination of 52 things taken 2 at a time is (52 x 51)/(2 x 1)=1326. This is the total possible outcomes when drawing two cards from a deck. Combination of 4 things taken 2 at a time is (4 x 3)/(2 x 1) = 6. This is the total possible combinations of two kings (Heart/Diamond, Heart/Spade, Heart/Club, Diamond/Spade, Diamond/Club, Spade/Club). The probability, then, is 6 out of 1326, or 1/221.
The probability of being dealt 4 aces in a 5 card poker hand?
Poker hands are combinations of cards (when the order does not matter, but each object can be chosen only once.)
The number 52C5 of combinations of 52 cards taken 5 at a time is (52x51x50x49x48) / (5x4x3x2x1) = 2,598,960.
The number of hands which contain 4 aces is 48 (the fifth card can be any of 48 other cards.)
So there is 1 chance in (2,598,960 / 48) = 54,145 of being dealt 4 aces in a 5 card hand.
The odds are 54,144 to 1 against. The probabilityis 1/54145 = (approx.) 0.000018469 or 0.0018469%.
the same probability as me shaging your ma tonight gigity
A single die is toss Find the probability of getting a 6?
A 6-sided die has 6 possible outcomes. If each of the sides has a different number, one through six, then the probability of getting any one number is 1/6.
What does commutative property mean in math?
An operation is commutative if it can be done front to back or back to front like addition.
2+3=5 and 3+2=5
but division is not
6/3=2 but 3/6= .5
What is the probability of having 3 daughters in a row?
it one out 8 1/8 bc
first child 1/2
second child 1/2
third child 1/2
1/2 x 1/2 x 1/2 = 1/8
What is the difference between a probability distribution and sampling distribution?
A sampling distribution function is a probability distribution function. Wikipedia gives this definition: In statistics, a sampling distribution is the probability distribution, under repeated sampling of the population, of a given statistic (a numerical quantity calculated from the data values in a sample). I would add that the sampling distribution is the theoretical pdf that would ultimately result under infinite repeated sampling. A sample is a limited set of values drawn from a population. Suppose I take 5 numbers from a population whose values are described by a pdf, and calculate their average (mean value). Now if I did this many times (let's say a million times, close enough to infinity) , I would have a relative frequency plot of the mean value which will be very close to the theoretical sampling pdf.
What is the distribution of area under a curve?
In terms of probability theory, the cumulative distribution function (cdf) is the result of the summation or integration of the probability density function (pdf). The cdf F(a) is the area under the pdf from its lower limit to a. I hope I am responding to your question. If not, perhaps you can clarify it and resubmit it.
The variance for the binomial probability distribution is?
n(p)(1-p) n times p times one minus p, where n is the number of outcomes in the binomial distribution, and p is the probability of a success.
What is a listing of all possible outcomes of an experiment and the corresponding probability?
A probability assignment.
If a multiple choice test has five answers what is the probability of guessing the right answer?
You have a 50% chance of getting the right answer and a 50% of getting the wrong answer. You best bet is to eliminate your three worse/wrong answers and that leaves you with two that are more or less correct . I have taken tests where points are taken away for guessing. Each right answer was one point and for every wrong two points were taken off. This was a national standardized test. In all the testing I have taken I have no way to beat the system set up by testing. I have taken the LSAT, GRE, SAT, ACT, National Teachers Exam, and several others. Nothing beats getting the test prep book and learning the tricks for that particular test.
What are the odds of two people having same birthday AND birthyear?
1 in 20,000!
I know 4 people with my same birthday, 3 of them not being related...
Relationship between rayleigh distribution and gaussian distribution?
If X and Y are independent Gaussian random variables with mean 0 and standard deviation sigma, then sqrt(X^2 + Y^2) has a Rayleigh distribution with parameter sigma.
yes
It is true because the distribution is symmetrical about Z=0.
What is the symbol for probability of success in a binomial trial?
The symbol for probability of success in a binomial trial is the letter p. It is the symbol used for probability in all statistical testing.
This is abinomial distribution; number of trials (n) is 5, probability of success (p) is 1/4 or 0.25. With this information you can go to a Binomial Distribution Table and find the solution. Within the section of values for n=5 and p=.25, read from the section the probability of 4 which is 0.0146 (see related link for table).
Will a sample's descriptive statistics accurately estimate the underlying population's parameters?
No. They may be good approximations, though.
